A Class of Iterative Methods for Solving Nonlinear Equations with Optimal Fourth-order Convergence
نویسندگان
چکیده
منابع مشابه
A Class of Iterative Methods for Solving Nonlinear Equations with Optimal Fourth-order Convergence
In this paper we construct a new third-order iterative method for solving nonlinear equations for simple roots by using inverse function theorem. After that a class of optimal fourth-order methods by using one function and two first derivative evaluations per full cycle is given which is obtained by improving the existing third-order method with help of weight function. Some physical examples a...
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a new optimal method of fourth-order convergence for solving nonlinear equations
in this paper, we present a fourth order method for computing simple roots of nonlinear equations by using suitable taylor and weight function approximation. the method is based on weerakoon-fernando method [s. weerakoon, g.i. fernando, a variant of newton's method with third-order convergence, appl. math. lett. 17 (2000) 87-93]. the method is optimal, as it needs three evaluations per ite...
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ژورنال
عنوان ژورنال: Universal Journal of Applied Mathematics
سال: 2014
ISSN: 2331-6446,2331-6470
DOI: 10.13189/ujam.2014.020802